Actually, they appear to have the same inherent stiffness!
Some time ago I was looking into the stiffness properties of several types of wood for their use as go-bar material. The wood was cut into 2' lengths which were 1/4" square in cross-section. In all cases, I tried to make one orientation as quartersawn as possible with no runout.
I then placed each wood strip across a pair of wooden bars, hung a weight in the middle and measured the deflection. The strip was rotated 90 degrees around the long axis and the deflection with the same weight measured again. So now we have measurements of quartersawn and slabsawn deflections for the same piece of wood. Using standard equations, I then calculated the Young's modulus (modulus of elasticity) for each piece in both the quartersawn and slabsawn directions. The figure below shows the results.

The solid line shows the slope of a 1:1 line. In the case I have described above, because the quartersawn and slabsawn direction dimensions are the same, I could as easily have plotted the actual deflections in each direction and gotten the same results. I didn't do this at the time because I was after the elasticities rather than the deflections.
Your thoughts?
aloha,
Dave Hurd
http://www.ukuleles.com